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风暴潮三维数值计算模式的研究及在渤海湾的应用
李大鸣1, 范 玉1,2, 徐亚男3, 付庆军4, 李晓瑜1
1.天津大学 建筑工程学院 港口与海洋工程教育部重点实验室;2.华北水利水电学院;3.交通运输部 天津水运工程科学研究所;4.国家海洋局 第一海洋研究所
摘要:
以实验室二维温带风暴潮数值模型为基础, 综合考虑海洋潮波动力与风应力联合作用, 建立温带风暴潮三维数值计算模型。模型从推导三维风暴潮基本控制方程出发, 并应用交替方向隐格式(ADI)方法对方程进行离散求解。对于浅水动边界, 模型采取局部深槽、缩小水域的活动边界处理方法。利用拟三维数值计算方法, 并提出了非平面水深等分模式和平面等水深分布模式, 应用这两种计算模式分别对渤海湾2009 年5 月8~10 日发生的风暴潮过程进行了数值模拟。将风暴潮位计算结果和增水位计算结果与塘沽验潮站的实际观测数值进行对比验证, 结果显示受风应力与潮波联合作用的风暴潮位和增水位与实测数据吻合良好; 通过比较得到了平面等水深分布模式的计算成果要比非平面水深等分模式的计算成果更接近观测资料的结论, 为风暴潮预报提供了理论依据。
关键词:  风暴潮  数值模拟  拟三维模型  交替方向隐格式(ADI)方法  渤海湾
DOI:
分类号:
基金项目:国家自然科学基金资助项目(51079095); 国家自然科学基金创新研究群体科学基金(51021004)
Research on 3-D numerical calculation model of storm surge and application in the Bohai Bay
Abstract:
This study is based on the 2-D numerical model of extratropical storm surge in our laboratory. The astronomical tidal force and wind stress were considerd as the main factors when we built the 3-D numerical model of storm surge. The model derives three-dimensional storm surge mathematical model equations and applies ADI (Alternating Direction Implicit) method to discretize and solve governing equations. To deal with the lateral boundary, the method of local-deepening and water range reducing were considered in the model. In the numerical calculation of extratropical storm surge, the numerical model of quasi-three-dimensional was applied, and then non-planar depth division model and planar equal depth distribution model were introduced and used in Bohai Bay for the computing of storm surge which occurred May 8 to 10, 2009. The comparison between the observed value of Tanggu tidal station and the calculated results of storm surge tidal level and setup level showed that the computed values which affected by astronomical tidal force and the wind stress are in good agreement with the measured data. According to the analysis, the results of the planar equal depth distribution model are closer to the practical situation than those of the non-planar depth division model, and it supplies theoretical basis for storm surge forecasting.
Key words:  storm surge  numerical imitation  quasi-three-dimensional model  ADI (Alternating Direction Implicit) method  the Bohai Bay
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